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We present a field theory description of a quantum phase transition in two spatial dimensions between a $U(1)$ algebraic spin liquid with $N$ flavors of gapless two-component Dirac fermionic spinons and a gapped $\mathbb{Z}_2$ spin liquid.…

强关联电子 · 物理学 2018-07-26 Rufus Boyack , Chien-Hung Lin , Nikolai Zerf , Ahmed Rayyan , Joseph Maciejko

Motivated by recent experiments on the material Ba_3NiSb_2O_9 we consider a spin-one quantum antiferromagnet on a triangular lattice with the Heisenberg bilinear and biquadratic exchange interactions and a single-ion anisotropy. Using a…

强关联电子 · 物理学 2012-08-30 Maksym Serbyn , T. Senthil , Patrick A. Lee

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning…

强关联电子 · 物理学 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier

Algebraic spin liquids are quantum disordered phases of insulating magnets which exhibit fractionalized gapless excitations and power-law correlations. Quantum spin liquids in this category include the experimentally established 1D…

强关联电子 · 物理学 2025-12-09 Francesco Ferrari , Josef Willsher , Urban F. P. Seifert , Roser Valentí , Johannes Knolle

For certain crystalline systems, most notably the organic compound EtMe3Sb[Pd(dmit)2]2, experimental evidence has accumulated of an insulating state with a high density of gapless neutral excitations that produce Fermi-liquid-like power…

强关联电子 · 物理学 2013-04-09 Maissam Barkeshli , Hong Yao , Steven A. Kivelson

We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin $S$ in the presence of nearest-neighbor $J_{1}$ and second-nearest-neighbor $J_{2}$ exchange interactions. By employing the pseudofermion functional…

It has been suggested that the nearest-neighbour (NN) antiferromagnetic Heisenberg (HAF) model on the Kagome lattice may be a good starting point to understand the quantum spin-liquid (QSL) behaviour discovered in Herbertsmithite. We…

强关联电子 · 物理学 2014-01-16 Tyler Dodds , Subhro Bhattacharjee , Yong Baek Kim

We investigate the spin-1/2 $J_1-J_2$ triangular-lattice Heisenberg antiferromagnet in a magnetic field by combining large-scale density matrix renormalization group (DMRG) simulations with self-consistent spin-wave theory. The resulting…

强关联电子 · 物理学 2025-12-03 Anna Keselman , Xinyuan Xu , Hao Zhang , Cristian D. Batista , Oleg A. Starykh

Recent work shows that a quantum spin liquid can arise in realistic fermionic models on a honeycomb lattice. We study the quantum spin-1/2 Heisenberg honeycomb model, considering couplings J1, J2, and J3 up to third nearest neighbors. We…

强关联电子 · 物理学 2015-05-27 Johannes Reuther , Dmitry Abanin , Ronny Thomale

We study the quantum phase diagram of the spin-$1/2$ Heisenberg model on the kagom\'e lattice with first-, second-, and third-neighbor interactions $J_1$, $J_2$, and $J_3$ by means of density matrix renormalization group. For small $J_2$…

强关联电子 · 物理学 2015-04-23 Shou-Shu Gong , Wei Zhu , Leon Balents , D. N. Sheng

Gapless fracton quantum spin liquids are exotic phases of matter described by higher-rank U(1) gauge theories which host gapped and immobile fracton matter excitations as well as gapless photons. Despite well-known field theories, no spin…

强关联电子 · 物理学 2025-08-12 Nils Niggemann , Meghadeepa Adhikary , Yannik Schaden-Thillmann , Johannes Reuther

Quantum spin liquids are long-range entangled phases whose magnetic correlations are determined by strong quantum fluctuations. While an overarching principle specifying the precise microscopic coupling scenarios for which quantum…

强关联电子 · 物理学 2020-01-08 Nils Niggemann , Max Hering , Johannes Reuther

Motivated by recent experiments on the Heisenberg S=1/2 quantum spin liquid candidate material kapellasite, we classify all possible chiral (time-reversal symmetry breaking) spin liquids with fermionic spinons on the kagome lattice. We…

强关联电子 · 物理学 2016-02-05 Samuel Bieri , Laura Messio , Bernard Bernu , Claire Lhuillier

On a lattice composed of triangular plaquettes where antiferromagnetic exchange interactions between localized spins cannot be simultaneously satisfied, the system becomes geometrically frustrated with magnetically disordered phases…

We investigate the nature of quantum phases arising in chiral interacting Hamiltonians recently realized in Rydberg atom arrays. We classify all possible fermionic chiral spin liquids with $\mathrm{U}(1)$ global symmetry using parton…

强关联电子 · 物理学 2023-08-09 Poetri Sonya Tarabunga , Giuliano Giudici , Titas Chanda , Marcello Dalmonte

We present a class of one-dimensional generic spinless fermion lattice Hamiltonians that express quasi-Fermi liquid physics, manifesting both Luttinger and Fermi liquid features due to solely irrelevant interactions. Using infinite matrix…

强关联电子 · 物理学 2025-10-28 Joshua D. Baktay , Adrian E. Feiguin , Julian Rincon

The anyonic excitations of a spin-liquid can feature fractional quantum numbers under space-group symmetries. Detecting these fractional quantum numbers, which are analogs of the fractional charge of Laughlin quasiparticles, may prove…

强关联电子 · 物理学 2016-05-18 Michael P. Zaletel , Zhenyue Zhu , Yuan-Ming Lu , Ashvin Vishwanath , Steven R. White

We present a systematic framework to classify symmetry-enriched topological quantum spin liquids in two spatial dimensions. This framework can deal with all topological quantum spin liquids, which may be either Abelian or non-Abelian,…

强关联电子 · 物理学 2024-09-30 Weicheng Ye , Liujun Zou

We study the uniform time reversal invariant $U(1)$ quantum spin liquid (QSL) with low energy fermionic quasi-particles for rare earth pyrochlore magnets and explore its magnetic instability employing an augmented fermionic parton mean…

强关联电子 · 物理学 2019-04-24 Sambuddha Sanyal , Kusum Dhochak , Subhro Bhattacharjee

By using variational wave functions and quantum Monte Carlo techniques, we investigate the complete phase diagram of the Heisenberg model on the anisotropic triangular lattice, where two out of three bonds have super-exchange couplings $J$…

强关联电子 · 物理学 2016-02-10 Elaheh Ghorbani , Luca F. Tocchio , Federico Becca